Understanding and Mathematics

  • Francis J. Murray
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 12)


We will now consider a general framework for “understanding.” As individuals we deal with an environment that affects us either favorably or unfavorably, and our continued existence depends on our interaction with it. Experience is this process of dealing with the environment. Experience is certainly continuous, but we consider that we can resolve it into unit sub-procedures in which we deal with a “situation” and use our understanding to guide our actions to produce a favorable result. Clearly this understanding is based on past experience or on learning, which corresponds to the experience of others. Preceding experience must, therefore, be structured into patterns that we can recognize in the situation we are dealing with.


Exact Science Experience Pattern Comprehension Concept Conceptual Experience Conceptual Analog 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Press, New York 1978

Authors and Affiliations

  • Francis J. Murray
    • 1
  1. 1.Duke UniversityDurhamUSA

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